Fractional Calculus of the Lerch Zeta Function

Registro completo de metadados
MetadadosDescriçãoIdioma
Autor(es): dc.contributorUniversidade Estadual Paulista (UNESP)-
Autor(es): dc.creatorGuariglia, Emanuel-
Data de aceite: dc.date.accessioned2025-08-21T21:07:06Z-
Data de disponibilização: dc.date.available2025-08-21T21:07:06Z-
Data de envio: dc.date.issued2023-03-01-
Data de envio: dc.date.issued2023-03-01-
Data de envio: dc.date.issued2022-06-01-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.1007/s00009-021-01971-7-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/11449/239879-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/239879-
Descrição: dc.descriptionThis paper deals with the fractional derivative of the Lerch zeta function. We compute the fractional derivative of the Lerch zeta function using a complex generalization of the Grünwald–Letnikov derivative. This definition of fractional derivative, fulfilling the generalized Leibniz rule, allows us to derive a functional equation for the fractional derivative of the Lerch zeta function. This functional equation is rewritten in a simplified form that reduces its computational cost. Furthermore, we prove an approximate functional equation for the fractional derivative of the Lerch zeta function.-
Descrição: dc.descriptionInstitute of Biosciences Letters and Exact Sciences São Paulo State University (UNESP), Rua Cristóvão Colombo 2265, SP-
Descrição: dc.descriptionInstitute of Biosciences Letters and Exact Sciences São Paulo State University (UNESP), Rua Cristóvão Colombo 2265, SP-
Idioma: dc.languageen-
Relação: dc.relationMediterranean Journal of Mathematics-
???dc.source???: dc.sourceScopus-
Palavras-chave: dc.subjectcomputational cost-
Palavras-chave: dc.subjectfunctional equation-
Palavras-chave: dc.subjectgeneralized Leibniz rule-
Palavras-chave: dc.subjectGrünwald–Letnikov fractional derivative-
Palavras-chave: dc.subjectLerch zeta function-
Título: dc.titleFractional Calculus of the Lerch Zeta Function-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional - Unesp

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